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Finding the Fourth Proportional to 661.84, 913.88 and 591.77

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Solution

The fourth proportional to 661.84, 913.88 and 591.77 is: 817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.88 = 591.77 : x
  2. Step 2: Convert to fraction form
    661.84/913.88 = 591.77/x
  3. Step 3: Cross multiply
    661.84x = 913.88 × 591.77
  4. Step 4: Simplify right side
    661.84x = 540,810.53
  5. Step 5: Solve for x
    x = 540,810.53/661.84
  6. Step 6: Final answer
    x = 817.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.